exam Maths Puzzle Numerical Ability

How do you find the domain of this function algebraically??

y= square root of x^4 -1

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exam Other Question

1.) 4y2-x2+8y+4x-4=0

Please include
a) standard equation form
b) opens up and down, or left and right
c) Vertex
e) Determine A and B
f) Graph (asymptotes, rectangular box)



(c^3-2c^2-5c+3)+(c^2+2c-1)